A left inverse approach to sharp Sobolev inequalities
The thesis is devoted to sharp embeddings from Soblolev spaces into Lebesque spaces in one dimension. The paper included in the thesis concerns the embedding from Sobolev spaces of functions that have square integrable derivatives of integer order k into the space of Lebesgue integrable functions (p=1). The main result is the sharp constant and the explicit extremal functions given by the Landau k
